Finding the Third Proportional to 3,456.38 and 5,337.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,456.38 : 5,337.56 = 5,337.56 : x
2. Step 2: Convert to fraction form
   3,456.38/5,337.56 = 5,337.56/x
3. Step 3: Cross multiply
   3,456.38x = 5,337.56 × 5,337.56
4. Step 4: Simplify right side
   3,456.38x = 28,489,573.44
5. Step 5: Solve for x
   x = 28,489,573.44/3,456.38
6. Step 6: Final answer
   x = 8,242.62